메뉴 건너뛰기




Volumn 21, Issue 4, 1996, Pages 439-467

Object-oriented programming of adaptive finite element and finite volume methods

Author keywords

Adaptive methods; C++; Finite elements; Finite volumes; Object oriented programming

Indexed keywords

ADAPTIVE ALGORITHMS; ADAPTIVE SYSTEMS; C (PROGRAMMING LANGUAGE); DATA STRUCTURES; FINITE ELEMENT METHOD; FINITE VOLUME METHOD; FUNCTION EVALUATION; MATHEMATICAL MODELS;

EID: 0030264293     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(96)00044-X     Document Type: Article
Times cited : (28)

References (36)
  • 1
    • 0039169754 scopus 로고
    • Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems
    • S. Adjerid and J.E. Flaherty, Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems, Numer. Math. 53 (1988) 183-198.
    • (1988) Numer. Math. , vol.53 , pp. 183-198
    • Adjerid, S.1    Flaherty, J.E.2
  • 3
    • 0026107156 scopus 로고
    • A weighted least squares method for the backward-forward heat equation
    • A.K. Aziz and J.-L. Liu, A weighted least squares method for the backward-forward heat equation, SIAM J. Numer. Anal. 28 (1991) 156-167.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 156-167
    • Aziz, A.K.1    Liu, J.-L.2
  • 4
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element methods
    • I. Babuška and A. Miller, The post-processing approach in the finite element methods, Internat. J. Numer. Methods Engrg. 20 (1984) 1085-1109, 1111-1129 and 2311-2324.
    • (1984) Internat. J. Numer. Methods Engrg. , vol.20 , pp. 1085-1109
    • Babuška, I.1    Miller, A.2
  • 5
    • 0000613724 scopus 로고
    • Error estimates for adaptive finite element computations
    • I. Babuška and W.C. Rheinboldt, Error estimates for adaptive finite element computations, SIAM J. Numer. Anal. 15 (1978) 736-754.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 736-754
    • Babuška, I.1    Rheinboldt, W.C.2
  • 6
    • 0027628067 scopus 로고
    • Accuracy of least-squares methods for the Navier-Stokes equations
    • P.B. Bochev and M.D. Gunzburger, Accuracy of least-squares methods for the Navier-Stokes equations, Comput. & Fluids 22 (1993) 549-563.
    • (1993) Comput. & Fluids , vol.22 , pp. 549-563
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 7
    • 0025496931 scopus 로고
    • A least-squares finite element method for the Helmholtz equation
    • C. L. Chang, A least-squares finite element method for the Helmholtz equation, Comput. Methods Appl. Mech. Engrg. 83 (1990) 1-7.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.83 , pp. 1-7
    • Chang, C.L.1
  • 8
    • 0039813090 scopus 로고
    • Proceedings of the 3rd ARO workshop on adaptive methods for partial differential equations
    • K. Clark, J.E. Flaherty and M.S. Shephard, eds., Proceedings of the 3rd ARO Workshop on Adaptive Methods for Partial Differential Equations, Appl. Numer. Math. 14 (1-3) (1994).
    • (1994) Appl. Numer. Math. , vol.14 , Issue.1-3
    • Clark, K.1    Flaherty, J.E.2    Shephard, M.S.3
  • 9
    • 0001822084 scopus 로고
    • Cell vertex algorithms for the compressible Navier-Stokes equations
    • P.I. Crumpton, J.A. Mackenzie and K.W. Morton, Cell vertex algorithms for the compressible Navier-Stokes equations, J. Comput. Phys. 109 (1993) 1-15.
    • (1993) J. Comput. Phys. , vol.109 , pp. 1-15
    • Crumpton, P.I.1    Mackenzie, J.A.2    Morton, K.W.3
  • 10
    • 0024875086 scopus 로고
    • Toward a universal h-p adaptive finite element strategy. Part 1. Constrained approximation and data structure
    • L. Demkowicz, J.T. Oden, W. Rachowicz and O. Hardy, Toward a universal h-p adaptive finite element strategy. Part 1. Constrained approximation and data structure, Comput. Methods Appl. Mech. Engrg. 77 (1989) 79-112.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.77 , pp. 79-112
    • Demkowicz, L.1    Oden, J.T.2    Rachowicz, W.3    Hardy, O.4
  • 12
    • 44049122524 scopus 로고
    • Object-oriented finite element programming: II. A prototype program in Smalltalk
    • Y. Dubois-Pèlerin, T. Zimmermann and P. Bomme, Object-oriented finite element programming: II. A prototype program in Smalltalk, Comput. Methods Appl. Mech. Engrg. 98 (1992) 361-397.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.98 , pp. 361-397
    • Dubois-Pèlerin, Y.1    Zimmermann, T.2    Bomme, P.3
  • 13
    • 0025616382 scopus 로고
    • Object-oriented programming for engineering software development
    • G.L. Fenves, Object-oriented programming for engineering software development, Engrg. Comput. 6 (1990) 1-15.
    • (1990) Engrg. Comput. , vol.6 , pp. 1-15
    • Fenves, G.L.1
  • 16
    • 0028420070 scopus 로고
    • Adaptive multilevel method for obstacle problems
    • R.H.W. Hoppe and R. Kornhuber, Adaptive multilevel method for obstacle problems, SIAM J. Numer. Anal. 31 (1994) 301-323.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 301-323
    • Hoppe, R.H.W.1    Kornhuber, R.2
  • 19
    • 0027553840 scopus 로고
    • Self-adaptive finite element simulation of bipolar, strongly reverse-biased pn-junctions
    • R. Kornhuber and R. Roitzsch, Self-adaptive finite element simulation of bipolar, strongly reverse-biased pn-junctions, Comm. Numer. Methods Engrg. 9 (1993) 243-250.
    • (1993) Comm. Numer. Methods Engrg. , vol.9 , pp. 243-250
    • Kornhuber, R.1    Roitzsch, R.2
  • 20
    • 85142165398 scopus 로고    scopus 로고
    • On weak residual error estimation
    • to appear
    • J.-L. Liu, On weak residual error estimation, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Liu, J.-L.1
  • 21
    • 0040126208 scopus 로고
    • A posteriori finite element error estimators for indefinite elliptic boundary value problems
    • J.-L. Liu and W.C. Rheinboldt, A posteriori finite element error estimators for indefinite elliptic boundary value problems, Numer. Funct. Anal. Optim. 15 (1994) 335-356.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , pp. 335-356
    • Liu, J.-L.1    Rheinboldt, W.C.2
  • 22
    • 0026902515 scopus 로고
    • Object oriented programming of the finite element method
    • R.I. Mackie, Object oriented programming of the finite element method, Internat. J. Numer. Methods Engrg. 35 (1992) 425-436.
    • (1992) Internat. J. Numer. Methods Engrg. , vol.35 , pp. 425-436
    • Mackie, R.I.1
  • 24
    • 84913428549 scopus 로고
    • NFEARS: A nonlinear adaptive finite element solver
    • University of Maryland, College Park
    • C.K. Mesztenyi and W.C. Rheinboldt, NFEARS: A nonlinear adaptive finite element solver, Computer Science TR-1946, University of Maryland, College Park (1988).
    • (1988) Computer Science TR-1946
    • Mesztenyi, C.K.1    Rheinboldt, W.C.2
  • 25
    • 0002033584 scopus 로고
    • An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems
    • J.J.H. Miller and S. Wang, An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems, J. Comput. Phys. 115 (1994) 56-64.
    • (1994) J. Comput. Phys. , vol.115 , pp. 56-64
    • Miller, J.J.H.1    Wang, S.2
  • 26
    • 0025629071 scopus 로고
    • Recent results on smart algorithms and adaptive methods for two- and three-dimensional problems in computational fluid mechanics
    • J.T. Oden, J.M. Bass, C.-Y. Huang and C.W. Berry, Recent results on smart algorithms and adaptive methods for two- and three-dimensional problems in computational fluid mechanics, Comput. & Structures 35 (1990) 381-396.
    • (1990) Comput. & Structures , vol.35 , pp. 381-396
    • Oden, J.T.1    Bass, J.M.2    Huang, C.-Y.3    Berry, C.W.4
  • 27
    • 0019216230 scopus 로고
    • Theory of variational inequalities with applications to problems of flow through porous media
    • J.T. Oden and N. Kikuchi, Theory of variational inequalities with applications to problems of flow through porous media, Internat. J. Engrg. Sci. 18 (1980) 1173-1284.
    • (1980) Internat. J. Engrg. Sci. , vol.18 , pp. 1173-1284
    • Oden, J.T.1    Kikuchi, N.2
  • 29
    • 0019030032 scopus 로고
    • On a data structure for adaptive finite element mesh refinements
    • W.C. Rheinboldt and C.K. Mesztenyi, On a data structure for adaptive finite element mesh refinements, ACM Trans. Math. Software 6 (1980) 166-187.
    • (1980) ACM Trans. Math. Software , vol.6 , pp. 166-187
    • Rheinboldt, W.C.1    Mesztenyi, C.K.2
  • 30
    • 0027110444 scopus 로고
    • Elements of an object-oriented FEM++ program in C++
    • S.-P. Scholz, Elements of an object-oriented FEM++ program in C++, Comput. & Structures 43 (1992) 517-529.
    • (1992) Comput. & Structures , vol.43 , pp. 517-529
    • Scholz, S.-P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.